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Finding the Fourth Proportional to 171.00, 254.87 and 161.27

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Solution

The fourth proportional to 171.00, 254.87 and 161.27 is: 240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.00 : 254.87 = 161.27 : x
  2. Step 2: Convert to fraction form
    171.00/254.87 = 161.27/x
  3. Step 3: Cross multiply
    171.00x = 254.87 × 161.27
  4. Step 4: Simplify right side
    171.00x = 41,102.38
  5. Step 5: Solve for x
    x = 41,102.38/171.00
  6. Step 6: Final answer
    x = 240.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.